50=0.65(x)+(100-x)(0.4)

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Solution for 50=0.65(x)+(100-x)(0.4) equation: 


Simplifying
50 = 0.65(x) + (100 + -1x)(0.4)

Reorder the terms for easier multiplication:
50 = 0.65x + 0.4(100 + -1x)
50 = 0.65x + (100 * 0.4 + -1x * 0.4)
50 = 0.65x + (40 + -0.4x)

Reorder the terms:
50 = 40 + 0.65x + -0.4x

Combine like terms: 0.65x + -0.4x = 0.25x
50 = 40 + 0.25x

Solving
50 = 40 + 0.25x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.25x' to each side of the equation.
50 + -0.25x = 40 + 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
50 + -0.25x = 40 + 0.00
50 + -0.25x = 40

Add '-50' to each side of the equation.
50 + -50 + -0.25x = 40 + -50

Combine like terms: 50 + -50 = 0
0 + -0.25x = 40 + -50
-0.25x = 40 + -50

Combine like terms: 40 + -50 = -10
-0.25x = -10

Divide each side by '-0.25'.
x = 40

Simplifying
x = 40

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